answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vovangra [49]
2 years ago
10

Rachael’s employer matches 16% of Rachel’s contribution to her 401k plan. If racheals employer contributed $400 to the plan a ye

ar , how much did racheal contribute to the plan last year
Mathematics
2 answers:
Butoxors [25]2 years ago
4 0
If x is Rachael's contributions
400=16%x
2,500=x

Rachael contributed $2,500 to her 401k last year
olga2289 [7]2 years ago
3 0

Answer:

$2500.

Step-by-step explanation:

Let x be represent the amount contributed by Rachael's to her 401(k) plan.

We have been given that Rachael’s employer matches 16% of Rachel’s contribution to her 401(k) plan. Rachael's employer contributed $400 to the plan a year.

We need to find x such that 16% of x is $400.

\frac{16}{100}*x=\$400

0.16*x=\$400

\frac{0.16*x}{0.16}=\frac{\$400}{0.16}

x=\$2500

Therefore, Rachael contributed $2500 to the plan last year.

You might be interested in
To increase sales, a local donut shop began putting an extra donut in some of the boxes. Customers are unaware of which boxes ha
Bingel [31]

Answer:

Step-by-step explanation:

Hello!

Part A

First, determine your study variable:

X: Number of boxes with an extra donut in a sample of eight.

To see if the variable has a Binomial distribution you have to check if the binomial criteria are met:

1. The number of observation of the trial is fixed (In this case n = 8, the boxes each customer bought make the sample)

2. Each observation in the trial is independent, this means that none of the trials will affect the probability of the next trial (In this case, the amount of donuts in one box does not affect on the probability of the next box having an extra donut)

3. The probability of success in the same from one trial to another (In this case our "success" will be that the box has an extra donut, according to the owners claim that is 1/7; ρ=0,14)

So X≈ Bi (n;ρ)

Where n represents the sample (n=8) and ρ is the probability of success (ρ=0.14)

Part B

The mean of the binomial distribution is E(X)= nρ

E(X)= 8 * 0.14= 1.12

The mean of the distribution is also called the expected value. You'd expect that 1.12 boxes have an extra donut.

The variance of the binomial distribution is V(X)= nρ(1 - ρ)

V(X)= 8*0.14*(1 - 0.14)= 0.9632

Its square root is the standard deviation

√V(X)= 0.98

The standard deviation is a measure of dispersion, it indicates how much the values ​​of the distribution of the central value are separated. In this case, 0.98 indicates that the distribution of the number of boxes with an extra donut is far from the expected value.

Part C

Two of the eight customers buy a box with an extra donut, symbolically:

P(X=2) = P(X≤2) - P(X≤1)= 0.91 - 0.68 = 0.22

There is a 22% chance that two customers bought a box with an extra donut.

Compute:

P(X≥2)= 1 - P(X<2)= 1 - P(X≤1)= 1 - 0.68= 0.32

There is a 32% chance that two or more customers bought a box with an extra donnut.

I hope it helps!

3 0
1 year ago
a garden plot is to contain 240 sq. ft. if its length is to be 3 times its width,what should its dimensions be?
Nastasia [14]
W^2=80
W SQRT80
W=8.94 ANS.FOR THE WIDTH
L=3*8.94=26.83 ANS.FOR THE LENGTH
PROOF:
240=8.94*26.83
240=240

3 0
1 year ago
PLEASE HELP ASAP, CORRECT ANSWER GETS BRAINLIEST
Fynjy0 [20]
Car value at the time of purchase $15, 250 (2012)
Rate of depreciation 7.5%
1) y = 15250 ( 1- 0.075)^x
y = 15250 (0.925)^x (x tis the number of years that passed since purchase)

2)  y = 15250 * ( 0.925)^8 = 8173.42
4 0
2 years ago
Read 2 more answers
You are having a pizza-making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (includi
Tcecarenko [31]

Answer:

78 ounces of dough

52 ounces of sauce

12 guests are coming (not including you)

Step-by-step explanation:

13x6=78

13x4=52

78+52=130 ounces

6 0
1 year ago
Given: △ABC, m∠A=120°, AB=AC=1<br> Find: The radius of circumscribed circle
Citrus2011 [14]

In Δ ABC, ∠A=120°, AB=AC=1

To draw a circumscribed circle Draw perpendicular bisectors of any of two sides.The point where these bisectors meet is the center of the circle.Mark the center as O.

Then join OA, OB, and OC.

Taking any one OA,OB and OC as radius draw the circumcircle.

Now, from O Draw OM⊥AB and ON⊥AC.

As chord AB and AC are equal,So OM and ON will also be equal.

The reason being that equal chords are equidistant from the center.

AM=MB=1/2 and AN=NC=1/2  [ perpendicular from the center to the chord bisects the chord.]

In Δ OMA and ΔONA

OM=ON [proved above]

OA is common.

MA=NA=1/2  [proved above]

ΔOMA≅ ONA [SSS]

∴ ∠OAN =∠OAM=60° [ CPCT]

In Δ OAN

\cos60=\frac {AN}{OA}

\frac{1}{2}=\frac{\frac{1}{2}}{OA}

OA=1

∴ OA=OB=OC=1, which is the radius of given Circumscribed circle.





4 0
1 year ago
Other questions:
  • Given a dilation with the origin O (0, 0), by observation determine the scale factor "K." DO, K = (5, 0) (10, 0) The dilation an
    15·1 answer
  • Solve the system of inequalities: y + 2x &gt; 3 and y 3.5x − 5 The first inequality, y + 2x &gt; 3, is in slope-intercept form.
    11·2 answers
  • True or False? A circle could be circumscribed about the quadrilateral below.
    11·2 answers
  • A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 Miles. What
    11·1 answer
  • Write the phase "3 times the difference of 5 and y equals 4" as a variable expression:
    10·2 answers
  • A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
    11·1 answer
  • Coordinates, gradient and tangent work (see image).
    6·1 answer
  • Which is a solution to (x – 3)(x + 9) = –27?
    10·2 answers
  • Chadwick bought 50 shares of Chipotle stock on Nov 1, 2016 for $396.33 share. He sold the shares four years later, with the per
    12·1 answer
  • 2A5A0A2 is divisible by 99 what is the A digit
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!